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Volumn 4297 LNCS, Issue , 2006, Pages 375-386

Load balanced block Lanczos algorithm over GF(2) for factorization of large keys

Author keywords

Cryptology; Load balancing; Parallel cluster computing; RSA key; Sparse matrix

Indexed keywords

BLOCK LANCZOS ALGORITHM; CPU TIME; CRYPTOLOGY; INTEGER FACTORIZATION; LANCZOS ALGORITHM; LOAD-BALANCED; LOAD-BALANCING; LOAD-BALANCING SCHEMES; MATRIX; MYRINET INTERCONNECTION; NUMBER FIELD SIEVE; PARALLEL PROCESSING; SEQUENTIAL COMPUTATIONS; SPARSE MATRICES; SUB-MATRICES;

EID: 77049087568     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11945918_38     Document Type: Conference Paper
Times cited : (4)

References (18)
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    • Cavallar, S., Dodson, B., Lenstra, A. K., Leyland, P. C.,Lioen, W. M., Montgomery, P. L., Murphy, B., te Riele, H., Zimmermann, P.: Factorization of RSA-140 Using the NumberField Sieve. In ASIACRYPT (1999), pp. 195-207.
  • 2
    • 77956089601 scopus 로고    scopus 로고
    • Cavallar, S., Dodson, B., Lenstra, A. K., Lioen, W. M.,Montgomery, P. L., Murphy, B., te Riele, H., Aardal, K.,Gilchrist, J., Guillerm, G., Leyland, P. C., Marchand, J.,Morain, F., Muffett, A., Putnam, C., Zim-mermann, P.: Factorization of a 512-bit RSA Modulus. In Theory and Application of Cryptographic Techniques (2000), pp. 1-18.
    • Cavallar, S., Dodson, B., Lenstra, A. K., Lioen, W. M.,Montgomery, P. L., Murphy, B., te Riele, H., Aardal, K.,Gilchrist, J., Guillerm, G., Leyland, P. C., Marchand, J.,Morain, F., Muffett, A., Putnam, C., Zim-mermann, P.: Factorization of a 512-bit RSA Modulus. In Theory and Application of Cryptographic Techniques (2000), pp. 1-18.
  • 7
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    • An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators
    • Oct
    • Lanczos, C.: An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators. Journal of Re-search of the National Bureau of Standards 45, 4 (Oct. 1950), pp. 255-282.
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    • Lanczos, C.1
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    • Montgomery, P. L.: Square roots of products of algebraic numbers. In Mathematics of Computation 1943-1993: a Half-Century of Computational Mathematics (May 1994), Walter Gautschi, Ed., Proceedings of Symposia in Applied Mathematics, American Mathematical Society, pp. 567-571.
    • Montgomery, P. L.: Square roots of products of algebraic numbers. In Mathematics of Computation 1943-1993: a Half-Century of Computational Mathematics (May 1994), Walter Gautschi, Ed., Proceedings of Symposia in Applied Mathematics, American Mathematical Society, pp. 567-571.
  • 10
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    • Lanczos Algorithm for Finding Dependencies over GF
    • Montgomery, P. L.: A Block Lanczos Algorithm for Finding Dependencies over GF(2). In EUROCRYPT '95 (1995), vol. 921, pp. 106-120.
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  • 11
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.